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Finding the Fourth Proportional to 1,031.58, 1,546.29 and 517.50

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Solution

The fourth proportional to 1,031.58, 1,546.29 and 517.50 is: 775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.58 : 1,546.29 = 517.50 : x
  2. Step 2: Convert to fraction form
    1,031.58/1,546.29 = 517.50/x
  3. Step 3: Cross multiply
    1,031.58x = 1,546.29 × 517.50
  4. Step 4: Simplify right side
    1,031.58x = 800,205.08
  5. Step 5: Solve for x
    x = 800,205.08/1,031.58
  6. Step 6: Final answer
    x = 775.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.